Explain proof by contradiction, with the help of an example.
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Step-by-step explanation:
Proof by Contradiction
This is an example of proof by contradiction. To prove a statement P is
true, we begin by assuming P false and show that this leads to a
contradiction; something that always false.
Many of the statements we prove have the form P ⇒ Q which, when
negated, has the form P ⇒ ∼Q. Often proof by contradiction has the form
Proposition
P ⇒ Q.
Proof.
Assume, for the sake of contradiction P is true but Q is false.
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Since we have a contradiction, it must be that Q is true.
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